Amplification of small signals via stochastic resonance
- 1 December 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 44 (12), 8032-8042
- https://doi.org/10.1103/physreva.44.8032
Abstract
Stochastic resonance is a cooperative effect of noise and periodic driving in bistable systems. It can be used for the detection and amplification of weak signals embedded within a large noise background. In doing so, the noise triggers the transfer of power to the signal. In this paper we first present general properties of periodically driven Brownian motion, such as the long-time behavior of correlation functions and the existence of a ‘‘supersymmetric’’ partner system. Within the framework of nonstationary stochastic processes, we present a careful numerical study of the stochastic resonance effect, without restrictions on the modulation amplitude and frequency. In particular, in the regime of intermediate driving frequencies which has not yet been covered by theories, we have discovered a secondary resonance at smaller values of the noise strength.Keywords
This publication has 32 references indexed in Scilit:
- Reaction-rate theory: fifty years after KramersReviews of Modern Physics, 1990
- Extraction of periodic signals from a noise backgroundPhysics Letters A, 1989
- Periodically time-modulated bistable systems: Nonstationary statistical propertiesPhysical Review A, 1989
- Theory of stochastic resonancePhysical Review A, 1989
- Stochastic resonance in a bistable ring laserPhysical Review A, 1989
- Stochastic resonance in a double wellPhysical Review A, 1989
- Stochastic Resonance in Bistable SystemsPhysical Review Letters, 1989
- Observation of Stochastic Resonance in a Ring LaserPhysical Review Letters, 1988
- A Theory of Stochastic Resonance in Climatic ChangeSIAM Journal on Applied Mathematics, 1983
- The mechanism of stochastic resonanceJournal of Physics A: General Physics, 1981